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Finding the Fourth Proportional to 137,029.60, 205,323.60 and 77,688.80

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Solution

The fourth proportional to 137,029.60, 205,323.60 and 77,688.80 is: 116,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,029.60 : 205,323.60 = 77,688.80 : x
  2. Step 2: Convert to fraction form
    137,029.60/205,323.60 = 77,688.80/x
  3. Step 3: Cross multiply
    137,029.60x = 205,323.60 × 77,688.80
  4. Step 4: Simplify right side
    137,029.60x = 15,951,344,095.68
  5. Step 5: Solve for x
    x = 15,951,344,095.68/137,029.60
  6. Step 6: Final answer
    x = 116,408.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.